Details

sample134.0ms

Algorithm

intervals

Results

15.0ms

370×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	3405
8	868
7	333
6	188
5	126
4	102
3	78
2	37
1	15
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms	(* (* x x) x)
62.0ms	(* 0.12900613773279798 (* (* x x) x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
44.0ms	(* (* x x) x)
78.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5004
3	3999
2	797
1	236
0	83

prune157.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `insert-posit16` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 45

Calls

2 calls:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
12.0ms	(* 0.12900613773279798 (pow x 3))

series240.0ms

Counts

2 → 6

Calls

2 calls:

188.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
52.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.1s

Counts

51 → 51

Iterations

Iter	Nodes
done	5003
3	2409
2	580
1	191
0	77

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 58

Calls

3 calls:

11.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
31.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

series325.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
175.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
55.0ms	(* 0.12900613773279798 (* x x))

simplify3.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5006
3	4214
2	870
1	256
0	88

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
0.1b	(* (* x x) x)
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
0.2b	(* (sqrt 0.12900613773279798) (* (* x x) x))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

21.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
37.0ms	(* (* x x) x)
198.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
84.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))

series512.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
63.0ms	(* (* x x) x)
112.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
93.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1057
1	275
0	108

prune279.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample954.0ms

Algorithm

intervals

Results

788.0ms

11819×

body

valid